Answer
$x\approx 1.61$
Work Step by Step
Divide $5$ on both sides of the equation to obtainm:
$e^x=5$
RECALL:
$\ln{e^x}=x$
Take the natural logarithm of both sides to obtain:
$\ln{e^x}=\ln{5}$
Use the rule above to obtain:
$x=\ln{5}$
Use a scientific calculator to obtain:
$x=1.609437912
\\x \approx 1.61$